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By Brijesh Sharma
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Updated on 4 Jun 2025, 12:14 IST
NCERT Solutions for Class 12 Maths: NCERT Class 12 Maths are essential study materials for students preparing for their board exams and competitive tests like JEE Exam, BITSAT Exam, and more. NCERT Solutions for Class 12 Maths help you understand each chapter in a clear and easy way. These solutions are designed based on the latest CBSE Syllabus Class 12 Maths, so you can prepare well and score better marks.
Whether you're looking for practice questions or step-by-step answers, our Class 12 NCERT Solutions are perfect for your daily study routine preparation. You can also get the complete NCERT Maths Class 12 PDF Free Download from here, which allows you to study offline anytime.
For students who prefer learning in their regional language, we also provide Class 12 Maths NCERT Solutions in Hindi. This makes it easier to understand difficult concepts and improve problem-solving skills. All these NCERT Solutions are created by experts to help you understand the logic behind each step. So, whether you're preparing for the board exam or competitive tests, these solutions will make your preparation strong and effective.
Chapters | NCERT Solutions Class 12 Maths Chapters |
Chapter 1 | Relations and Functions |
Chapter 2 | Inverse Trigonometric Functions |
Chapter 3 | Matrices |
Chapter 4 | Determinants |
Chapter 5 | Continuity and Differentiability |
Chapter 6 | Applications of Derivatives |
Chapter 7 | Integrals |
Chapter 8 | Applications of Integrals |
Chapter 9 | Differential Equations |
Chapter 10 | Vector Algebra |
Chapter 11 | Three-dimensional Geometry |
Chapter 12 | Linear Programming |
Chapter 13 | Probability |
Sometimes, students find it hard to understand what is taught in class. To solve this problem, they should search online to clear their doubts. By practicing the topics they find difficult, they can become more confident for their exams. It's important to read the chapter from the NCERT textbook and try solving the exercise questions. This will help them understand the concepts better. Using the NCERT Solutions provided by Infinity Learn will also improve their problem-solving and thinking skills.
It is important to study NCERT Solutions Class 12 Maths for board exams and competitive examinations. According to the CBSE syllabus and test structure, the solutions are presented in simple language to aid students. Every Chapter in the most recent NCERT textbook is covered in the solutions. The solutions explain various fundamental concepts to provide accurate information to the students.
This chapter delves into the concepts of relations and functions, exploring their properties and classifications. It discusses various types of functions, their domains, and ranges. The solutions cover topics like one-to-one and onto functions, composition of functions, and inverse functions. Master the basics of algebra with NCERT 12 maths solution Chapter 1: Relations and Functions, designed to clarify fundamental concepts.
This chapter focuses on the inverse trigonometric functions and their properties. It covers topics like domain, range, graphs, and properties of these functions. The solutions help students understand how to solve equations involving inverse trigonometric functions. Delve into the complexities of Class 12 Maths Solutions Chapter 2: Inverse Trigonometric Functions, enhancing your analytical skills.
Class 12 Maths NCERT Solutions Chapter 2 Exercise |
Exercise 2.1 Class 12 Maths Solutions |
Exercise 2.2 Class 12 Maths Solutions |
Miscellaneous Exercise on Chapter 2 Class 12 Maths Solutions |
Matrices are the central theme of this chapter. Students will learn about matrix operations, types of matrices, and their properties. The solutions cover concepts like matrix multiplication, determinants, and the inverse of a matrix. Unlock the secrets of arrays with Class 12 Maths Solutions Chapter 3: Matrices, featuring detailed explanations and examples.
This chapter delves deeper into the concept of determinants, exploring their properties and uses in solving linear equations. The solutions guide students through calculating determinants, using properties to simplify calculations, and solving problems related to them. Understand the principles of Class 12 Maths Solutions Chapter 4: Determinants to solve systems of equations efficiently.
The concepts of continuity and differentiability of functions are explored in this chapter. The solutions cover topics like the definition of continuity, differentiability, and methods to determine whether a function is continuous or differentiable. Gain a thorough understanding of calculus with Class 12 Maths Solutions Chapter 5: Continuity and Differentiability.
This chapter delves into the applications of derivatives in various fields. It covers concepts like rate of change, increasing and decreasing functions, maxima and minima, and related rates problems. The solutions provide step-by-step guidance on solving real-world problems using derivatives. Explore practical applications with Class 12 Maths Solutions Chapter 6: Applications of Derivatives, complete with real-world examples.
Class 12 Maths NCERT Solutions Chapter 6 Exercises |
Exercise 6.1 Class 12 Maths Solutions |
Exercise 6.2 Class 12 Maths Solutions |
Exercise 6.3 Class 12 Maths Solutions |
Exercise 6.4 Class 12 Maths Solutions |
Exercise 6.5 Class 12 Maths Solutions |
Miscellaneous Exercise on Chapter 6 Class 12 Maths Solutions |
Integrals and their properties are the focus of this chapter. Students will learn about indefinite and definite integrals, methods of integration, and applications of integrals in finding areas and volumes. The solutions help in understanding integration techniques and their applications. Deepen your integration skills with Class 12 Maths Solutions Chapter 7: Integrals, perfect for complex problem-solving.
Class 12 Maths NCERT Solutions Chapter 7 Exercises |
Exercise 7.1 Class 12 Maths Solutions |
Exercise 7.2 Class 12 Math Solutionss |
Exercise 7.3 Class 12 Maths Solutions |
Exercise 7.4 Class 12 Maths Solutions |
Exercise 7.5 Class 12 Maths Solutions |
Exercise 7.6 Class 12 Maths Solutions |
Exercise 7.7 Class 12 Maths Solutions |
Exercise 7.8 Class 12 Maths Solutions |
Exercise 7.9 Class 12 Maths Solutions |
Exercise 7.10 Class 12 Maths Solutions |
Exercise 7.11 Class 12 Maths Solutions |
Miscellaneous Exercise on Chapter 7 Class 12 Maths Solutions |
Building on the previous chapter, this one focuses on the applications of integrals in practical scenarios. It covers topics like area under curves, area between curves, and applications in finding volumes and lengths of curves. The solutions guide students through solving problems related to these applications. Learn how to apply calculus to real-life scenarios with Class 12 Maths Solutions Chapter 8: Applications of Integrals.
Class 12 Maths NCERT Solutions Chapter 8 Exercises |
Exercise 8.1 Class 12 Maths Solutions |
Exercise 8.2 Class 12 Maths Solutions |
Miscellaneous Exercise on Chapter 8 Class 12 Maths Solutions |
This chapter introduces the basics of differential equations and their classifications. It covers concepts like order and degree of differential equations, solutions of differential equations, and their applications. The solutions help students understand the methods to solve different types of differential equations. Tackle complex differential equations using Class 12 Maths Solutions Chapter 9: Differential Equations, with step-by-step methods.
Vector algebra is the main theme of this chapter. It covers concepts like vectors in space, scalar and vector products, and the geometrical interpretation of vectors. The solutions provide clarity on vector operations and their geometric interpretations. Enhance your understanding of vectors with Class 12 Maths Solutions Chapter 10: Vector Algebra, providing comprehensive solutions.
This chapter explores three-dimensional space and geometry. It covers topics like direction cosines, direction ratios, equations of lines and planes in space, and the distance between points and lines. The solutions help students grasp the spatial concepts and solve problems related to them. Visualize spatial relationships with Class 12 Maths Solutions Chapter 11: Three-dimensional Geometry, aiding in your geometrical interpretation.
Class 12 Maths NCERT Solutions Chapter 11 Exercises |
Exercise 11.1 Class 12 Maths Solutions |
Exercise 11.2 Class 12 Maths Solutions |
Exercise 11.3 Class 12 Math Solutionss |
Miscellaneous Exercise on Chapter 11 Class 12 MathsSolutions |
This chapter introduces linear programming as a mathematical method to optimize solutions. It covers topics like linear inequalities, graphical and algebraic methods of solving linear programming problems, and applications in real-life scenarios. The solutions guide students through solving linear programming problems. Simplify optimization problems with Class 12 Maths Solutions Chapter 12: Linear Programming, tailored to help you find efficient solutions.
Class 12 Maths NCERT Solutions Chapter 12 Exercises |
Exercise 12.1 Class 12 Maths Solutions |
Exercise 12.2 Class 12 Maths Solutions |
Miscellaneous Exercise on Chapter 12 Class 12 Maths Solutions |
Probability theory is the focus of this chapter. It covers concepts like probability distribution functions, mean and variance of a random variable, and various probability distributions like binomial, Poisson, and normal distributions. The solutions help students understand probability concepts and solve problems involving probability distributions. Master the concepts of chance and data with Class 12 Maths Solutions Chapter 13: Probability, ensuring you're prepared for any uncertainty.
NCERT Solutions for Class 12 Maths are comprehensive answers and explanations to the problems and exercises found in the NCERT Class 12 Maths textbook. These solutions assist students in understanding and solving mathematical concepts effectively.
NCERT Solutions aid students in building a strong conceptual foundation, enhancing problem-solving skills, preparing for exams, and gaining clarity on mathematical concepts. They serve as valuable resources for both learning and revision.
Yes, NCERT Solutions cover all the chapters in the Class 12 Maths textbook. They provide solutions for a variety of exercises, including examples, practice problems, and additional questions from each chapter.
Yes, NCERT Solutions are designed to be in alignment with the official Class 12 Maths curriculum prescribed by educational boards. This ensures that students are studying relevant and accurate material.
Certainly, NCERT books hold a reputable status as excellent reference materials for Class 12 students. Rote memorization shortly before board exams isn't conducive to high scores. Thus, cultivating a genuine grasp of concepts is paramount for approaching exams with confidence. Dedicate sufficient time daily to solving textbook problems. This practice unveils the spectrum of problems likely to appear in board exams, fostering preparedness and enhancing academic performance.